Complete each problem. Read each question carefully. Show ALL work. k =8.99 time

Question

Complete each problem. Read each question carefully. Show ALL work. k =8.99 times N middot m2/C2 varepsilon0 = 8.85 times 10-12 C2/N middot m2 mu0 = 4pi times 10-7 T middot m/A Two long wires are oriented so that they are perpendicular to each other. At their closest, they arc 20.0 cm apart as indicated in the figure below. What is the magnitude and direction of the magnetic field at location P due to I1? What is the magnitude and direction of the magnetic field at location P due to I2? What is the magnitude of the new magnetic field at location P?

Explanation / Answer

Part A)

Apply B = uI/2pir

B = (4pi X 10-7)(20)/(2pi)(.1)

B = 4 X 10-5 T to the Right which is positive x direction (Direction by the right hand rule)

Part B)

B = (4pi X 10-7)(5)/(2pi)(.1)

B = 1 X 10-5 T out of the page which is positive z direction (Direction by the right hand rule)

Part C)

Net B field is found by the Pyhtagorean Theorem

B2 = (4 X 10-5)2 + (1 X 10-5)2

B = 4.12 X 10-5 T

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